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                                <h1 id="eccv-2016-hydra-ccnn">ECCV 2016 Hydra CCNN</h1>
<p>Towards perspective-free object counting with deep learning&#xFF0C;&#x8FD9;&#x662F;&#x4E00;&#x7BC7;&#x53D1;&#x5728;ECCV 2016&#x4E0A;&#x7684;&#x8BBA;&#x6587;&#xFF0C;&#x63D0;&#x51FA;&#x4E00;&#x79CD;&#x591A;&#x8F93;&#x5165;&#x7684;CNN&#x6A21;&#x578B;&#x6765;&#x89E3;&#x51B3;Object Counting&#x7684;&#x95EE;&#x9898;&#x3002;</p>
<h2 id="object-counting">Object Counting</h2>
<h3 id="&#x5B9A;&#x4E49;">&#x5B9A;&#x4E49;</h3>
<p>&#x7ED9;&#x5B9A;&#x4E00;&#x5F20;&#x56FE;&#x7247;&#xFF0C;&#x8F93;&#x51FA;&#x56FE;&#x7247;&#x4E2D;&#x76EE;&#x6807;&#x5BF9;&#x8C61;&#x7684;&#x4E2A;&#x6570;&#xFF0C;&#x6BD4;&#x5982;&#x4E0B;&#x9762;&#x4E24;&#x5F20;&#x56FE;&#xFF0C;&#x5DE6;&#x56FE;&#x6709;36&#x4E2A;&#x8F66;&#xFF0C;&#x53F3;&#x56FE;&#x6709;8&#x4E2A;&#x732A;</p>
<p><img src="ccnn_img/obj_cnt_exp.png" alt=""></p>
<h3 id="&#x5E38;&#x7528;&#x65B9;&#x6CD5;">&#x5E38;&#x7528;&#x65B9;&#x6CD5;</h3>
<ul>
<li><p>Counting by detection</p>
<p>&#x7528;&#x68C0;&#x6D4B;&#x5668;&#x53BB;&#x68C0;&#x6D4B;&#x56FE;&#x4E2D;&#x6709;&#x591A;&#x5C11;&#x4E2A;&#x5BF9;&#x8C61;&#xFF0C;&#x68C0;&#x6D4B;&#x5230;&#x591A;&#x5C11;&#x4E2A;&#x5C31;&#x8BA4;&#x4E3A;&#x662F;&#x591A;&#x5C11;&#x4E2A;</p>
</li>
</ul>
<p><img src="ccnn_img/detection_cnt.png" alt=""></p>
<p>&#x68C0;&#x6D4B;&#x6709;&#x4E09;&#x79CD;&#x65B9;&#x6CD5;&#xFF0C;&#x6574;&#x4F53;&#x7684;&#x68C0;&#x6D4B;&#xFF08;&#x56FE;a&#xFF0C;&#x68C0;&#x6D4B;&#x6574;&#x4E2A;&#x4EBA;&#xFF09;&#xFF0C;&#x90E8;&#x5206;&#x7684;&#x68C0;&#x6D4B;&#xFF08;&#x56FE;b&#xFF0C;&#x68C0;&#x6D4B;&#x5934;&#xFF09;&#xFF0C;&#x5F62;&#x72B6;&#x7684;&#x5339;&#x914D;&#xFF08;&#x56FE;c&#xFF0C;&#x4EBA;&#x7684;&#x5F62;&#x72B6;&#x62BD;&#x8C61;&#x6210;&#x51E0;&#x4F55;&#x56FE;&#x5F62;&#xFF09;</p>
<ul>
<li>Counting by Clustering</li>
</ul>
<p><img src="ccnn_img/cluster_cnt.png" alt=""></p>
<ul>
<li>&#x5728;&#x6444;&#x50CF;&#x5934;&#x6355;&#x6349;&#x5230;&#x7684;&#x8FDE;&#x7EED;&#x89C6;&#x9891;&#x5E27;&#x91CC;&#xFF0C;&#x76EE;&#x6807;&#x79FB;&#x52A8;&#x65F6;&#xFF0C;&#x5728;&#x591A;&#x4E2A;&#x5E27;&#x4E4B;&#x95F4;&#x7684;&#x4F4D;&#x7F6E;&#x6BD4;&#x8F83;&#x76F8;&#x8FD1;&#xFF0C;&#x5C06;&#x8FD9;&#x4E9B;&#x8FD0;&#x52A8;&#x7269;&#x4F53;&#x5728;&#x591A;&#x5E27;&#x56FE;&#x7247;&#x4E4B;&#x95F4;&#x505A;&#x805A;&#x7C7B;&#xFF0C;&#x805A;&#x7C7B;&#x4E2D;&#x5FC3;&#x7684;&#x4E2A;&#x6570;&#x5C31;&#x662F;&#x76EE;&#x6807;&#x7684;&#x4E2A;&#x6570;</li>
<li>&#x4E0D;&#x9002;&#x7528;&#x4E8E;&#x9759;&#x6B62;&#x7269;&#x4F53;</li>
<li>&#x4F18;&#x70B9;&#xFF1A;&#x65E0;&#x76D1;&#x7763;</li>
</ul>
<p>&#x66F4;&#x591A;&#x7EC6;&#x8282;&#x53EF;&#x770B;Related work&#x90E8;&#x5206;&#x7684;&#x53C2;&#x8003;&#x6587;&#x732E;</p>
<ul>
<li>Counting by Regression</li>
</ul>
<p><img src="ccnn_img/regression_cnt.png" alt=""></p>
<ul>
<li>&#x7ED9;&#x5B9A;&#x8F93;&#x5165;&#x56FE;&#x7247;&#xFF0C;ROI&#xFF0C;&#x900F;&#x89C6;&#x56FE;&#xFF08;&#x573A;&#x666F;&#x4E2D;&#x7531;&#x8FDC;&#x53CA;&#x8FD1;&#x7684;&#x51E0;&#x4F55;&#x5173;&#x7CFB;&#xFF0C;&#x7528;&#x4E8E;&#x7F29;&#x653E;&#x5BF9;&#x8C61;&#xFF09;</li>
<li>&#x63D0;&#x53D6;&#x7279;&#x5F81;&#xFF08;&#x80CC;&#x666F;&#x5206;&#x79BB;&#xFF0C;&#x8FB9;&#x7F18;&#x68C0;&#x6D4B;&#xFF0C;&#x7EB9;&#x7406;&#x8BC6;&#x522B;&#xFF09;</li>
<li>&#x5B66;&#x4E60;&#x4E00;&#x79CD;&#x6620;&#x5C04;&#xFF0C;&#x5C06;&#x7279;&#x5F81;&#x56DE;&#x5F52;&#x5230;&#x5BF9;&#x8C61;&#x6570;&#x91CF;&#x4E0A;</li>
</ul>
<p>&#x56DE;&#x5F52;&#x53C8;&#x5206;&#x4E24;&#x79CD;&#xFF0C;</p>
<ul>
<li>&#x56DE;&#x5F52;&#x5BF9;&#x8C61;&#x6570;&#x91CF;</li>
<li>&#x56DE;&#x5F52;&#x5BF9;&#x8C61;&#x5BC6;&#x5EA6;&#x56FE;</li>
</ul>
<p>&#x5177;&#x4F53;&#x8BB2;&#x4E00;&#x4E0B;&#x5BF9;&#x8C61;&#x5BC6;&#x5EA6;&#x56FE;&#xFF1A;</p>
<ul>
<li>&#x5148;&#x7ED9;&#x51FA;&#x539F;&#x56FE;&#x548C;&#x76EE;&#x6807;&#x5BF9;&#x8C61;&#x7684;&#x5750;&#x6807;&#xFF08;&#x53EF;&#x4EE5;&#x6839;&#x636E;&#x5750;&#x6807;&#x753B;&#x51FA;&#x8D28;&#x5FC3;&#x56FE;&#xFF09;</li>
</ul>
<p><img src="ccnn_img/regress_density_origin.png" alt=""></p>
<ul>
<li>&#x5BF9;&#x8D28;&#x5FC3;&#x56FE;&#x505A;&#x4E00;&#x4E2A;&#x9AD8;&#x65AF;&#x6EE4;&#x6CE2;&#xFF0C;&#x53EF;&#x4EE5;&#x5F97;&#x5230;&#x5BC6;&#x5EA6;&#x56FE;&#xFF0C;&#x4F5C;&#x4E3A;&#x56DE;&#x5F52;&#x7684;&#x76EE;&#x6807;&#xFF0C;&#x5BF9;&#x8D28;&#x5FC3;&#x56FE;&#x8FDB;&#x884C;&#x6C42;&#x548C;&#xFF0C;&#x53CD;&#x8FC7;&#x6765;&#x53EF;&#x4EE5;&#x5F97;&#x5230;&#x76EE;&#x6807;&#x7684;&#x6570;&#x91CF;</li>
</ul>
<p><img src="ccnn_img/regression_density_gas.png" alt=""></p>
<blockquote>
<p>&#x8FDB;&#x5165;&#x6B63;&#x9898;&#xFF0C;Hydra CCNN</p>
</blockquote>
<ul>
<li>&#x65B9;&#x6CD5;&#xFF1A; &#x56DE;&#x5F52;&#x5BC6;&#x5EA6;&#x56FE;&#xFF0C;&#x591A;&#x5C3A;&#x5EA6;&#x8F93;&#x5165;&#x7EC4;&#x5408;</li>
<li>&#x4F18;&#x52BF;&#xFF1A;&#x4E0D;&#x9700;&#x8981;&#x900F;&#x89C6;&#x56FE;&#xFF0C;&#x591A;&#x5C3A;&#x5EA6;&#x9C81;&#x68D2;&#x6027;&#xFF0C;&#x8BAD;&#x7EC3;&#x7B80;&#x5355;&#xFF0C;&#x8BEF;&#x5DEE;&#x5C0F;</li>
</ul>
<p><img src="ccnn_img/hydra_ccnn.png" alt=""></p>
<h2 id="ccnncounting-cnn">CCNN(Counting CNN)</h2>
<ul>
<li><p>Regression: &#x7528;&#x4E00;&#x4E2A;CNN&#x5C06;&#x539F;&#x59CB;&#x56FE;&#x50CF;&#x6620;&#x5C04;&#x4E3A;&#x5BF9;&#x8C61;&#x5BC6;&#x5EA6;&#x56FE;</p>
<p><img src="ccnn_img/ccnn.png" alt=""></p>
</li>
</ul>
<p><script type="math/tex; ">D_{pred}^{(P)} = R(P|\omega)</script></p>
<p>&#x5176;&#x4E2D;P&#x662F;image patch&#xFF0C;<script type="math/tex; ">\omega</script>&#x662F;CNN&#x53C2;&#x6570;</p>
<ul>
<li>Conv1, Conv2, Conv3&#x540E;&#x9762;&#x90FD;&#x8DDF;&#x7740;&#x4E00;&#x4E2A;max pooling&#x5C42;</li>
<li>Conv4&#x548C;Conv5&#x90FD;&#x662F;&#x5377;&#x79EF;&#x5C42;&#xFF08;&#x6BD4;&#x5168;&#x8FDE;&#x63A5;&#x5C42;&#x66F4;&#x5FEB;&#xFF0C;&#x53C2;&#x6570;&#x66F4;&#x5C11;&#xFF09;</li>
<li>&#x5BF9;&#x6BD4;&#x8BBA;&#x6587;&#x4E2D;&#x63D0;&#x5230;&#x7684;&#x53E6;&#x4E00;&#x79CD;&#x65B9;&#x6CD5;&#xFF1A;Zhang et al&#xFF1A;&#x5377;&#x79EF;&#x540E;&#x63A5;&#x5168;&#x8FDE;&#x63A5;&#x5C42;&#xFF0C;&#x635F;&#x5931;&#x4E3A;&#x5BC6;&#x5EA6;&#x56FE;&#x548C;&#x6570;&#x91CF;&#x7684;&#x56DE;&#x5F52;&#x8BEF;&#x5DEE;&#xFF0C;&#x4E24;&#x4E2A;&#x635F;&#x5931;&#x4EA4;&#x66FF;&#x8FDB;&#x884C;&#x4F18;&#x5316;&#xFF0C;CCNN&#x66F4;&#x5FEB;&#xFF0C;&#x5E76;&#x4E14;&#x8BAD;&#x7EC3;&#x66F4;&#x7B80;&#x5355;&#x3002;</li>
<li>Loss&#xFF1A; <script type="math/tex; ">l(\omega) = \frac{1}{2N}\sum_{n=1}^{N}||D_{pred}^{(P_n)}-D_{gt}^{(P_n)}||_2^2</script>&#xFF0C;gt&#x662F;ground truth&#x7684;&#x610F;&#x601D;&#xFF0C;&#x8FD9;&#x4E2A;&#x635F;&#x5931;&#x5C31;&#x662F;&#x6C42;&#x6BCF;&#x5F20;&#x56FE;&#x7684;&#x5BC6;&#x5EA6;&#x56FE;&#x7684;&#x9884;&#x6D4B;&#x63D2;&#x503C;&#x7684;l2&#x6A21;&#xFF0C;&#x7136;&#x540E;&#x6C42;&#x5E73;&#x5747;&#xFF0C;N&#x4E3A;&#x56FE;&#x7247;&#x6570;&#x91CF;</li>
<li>&#x8BAD;&#x7EC3;&#xFF1A;&#x6ED1;&#x52A8;&#x7A97;&#x53E3;&#x5C06;&#x56FE;&#x7247;&#x5212;&#x5206;&#x4E3A;&#x591A;&#x4E2A;&#x7F51;&#x683C;&#xFF0C;&#x5BF9;&#x6BCF;&#x4E2A;&#x7F51;&#x683C;&#x505A;&#x56DE;&#x5F52;&#xFF0C;&#x5C06;&#x56DE;&#x5F52;&#x7684;&#x5BC6;&#x5EA6;&#x56FE;&#x62FC;&#x63A5;&#x6210;&#x4E00;&#x4E2A;&#x5B8C;&#x6574;&#x5C3A;&#x5BF8;&#x7684;&#x5BC6;&#x5EA6;&#x56FE;</li>
</ul>
<h2 id="hydra-ccnn">Hydra CCNN</h2>
<p>Hydra: &#x6D77;&#x5FB7;&#x62C9;&#x662F;&#x5E0C;&#x814A;&#x795E;&#x8BDD;&#x4E2D;&#x7684;&#x4E5D;&#x5934;&#x86C7;</p>
<ul>
<li>Motivation: &#x591A;&#x5C3A;&#x5EA6;&#x8303;&#x56F4;&#x5185;&#x7684;&#x5BF9;&#x8C61;&#x5927;&#x5C0F;&#x4E0D;&#x540C;&#xFF0C;&#x4F1A;&#x5BFC;&#x81F4;&#x8BA1;&#x6570;&#x51FA;&#x9519;</li>
<li>Solution: &#x7528;&#x591A;&#x4E2A;CCNN&#x5404;&#x81EA;&#x56DE;&#x5F52;&#x591A;&#x4E2A;&#x5C3A;&#x5EA6;&#x7684;&#x5BC6;&#x5EA6;&#x56FE;&#xFF0C;&#x7EC4;&#x5408;&#x6210;&#x6700;&#x7EC8;&#x5BC6;&#x5EA6;&#x56FE;</li>
</ul>
<p><img src="ccnn_img/hydra_ccnn.png" alt=""></p>
<p>&#x4E3E;&#x4E2A;&#x4F8B;&#x5B50;&#xFF1A;n=3&#x65F6;&#xFF0C;&#x4E5F;&#x5C31;&#x662F;&#x56DE;&#x5F52;&#x4E09;&#x4E2A;&#x5C3A;&#x5EA6;&#x7684;&#x5BC6;&#x5EA6;&#x56FE;&#xFF0C;</p>
<ul>
<li>S0: &#x6574;&#x4E2A;patch&#xFF08;&#x4E0D;&#x662F;&#x6574;&#x5F20;&#x56FE;&#xFF0C;&#x662F;&#x4E00;&#x4E2A;patch&#xFF0C;&#x524D;&#x9762;&#x8BB2;&#x4E86;&#x4F1A;&#x505A;&#x6ED1;&#x7A97;&#x5212;&#x5206;&#xFF09;</li>
<li>S1&#xFF1A;&#x5728;&#x4E2D;&#x95F4;&#x62A0;&#x51FA;&#x9762;&#x79EF;&#x4E3A;2/3&#x7684;&#x56FE;</li>
<li>S2&#xFF1A;&#x5728;&#x4E2D;&#x95F4;&#x62A0;&#x51FA;&#x9762;&#x79EF;&#x4E3A;1/3&#x7684;&#x56FE;</li>
</ul>
<blockquote>
<p>&#x79C1;&#x4EE5;&#x4E3A;&#x8FD9;&#x4E2A;&#x5730;&#x65B9;&#x8FD8;&#x6709;&#x6539;&#x8FDB;&#x7A7A;&#x95F4;</p>
</blockquote>
<h2 id="&#x5B9E;&#x9A8C;&#x7ED3;&#x679C;">&#x5B9E;&#x9A8C;&#x7ED3;&#x679C;</h2>
<h3 id="&#x6570;&#x636E;&#x96C6;">&#x6570;&#x636E;&#x96C6;</h3>
<ul>
<li>TRANCOS&#xFF08;&#x6C7D;&#x8F66;&#xFF09;&#xFF0C;UCSD&#xFF08;&#x884C;&#x4EBA;&#xFF09;&#xFF0C;UCF_CC_50&#xFF08;&#x884C;&#x4EBA;&#xFF09;</li>
<li>&#x8BC4;&#x4EF7;&#x6307;&#x6807;&#xFF1A;<ul>
<li>MAE&#xFF08;Mean Absolute Error&#xFF09;</li>
<li>GAME(Grid Average Mean Absolute Error)&#xFF1A;GAME(L) = \frac{1}{N}\sum<em>{n=1}^{N}\sum</em>{l=1}^{4^L}|D<em>{I_n}^{l}-D</em>{I_n^{gt}}^{l}|<ul>
<li>N&#x662F;&#x56FE;&#x7247;&#x603B;&#x6570;</li>
<li>L: &#x5BF9;&#x4E8E;&#x6BCF;&#x5F20;&#x56FE;&#xFF0C;&#x5212;&#x5206;&#x6210;<script type="math/tex; ">4^L</script>&#x4E2A;&#x5C0F;&#x683C;&#xFF0C;&#x8BA1;&#x7B97;&#x6BCF;&#x4E2A;&#x5C0F;&#x683C;&#x7684;&#x8BEF;&#x5DEE;</li>
<li>L&#x4E3A;0&#x65F6;&#x5C31;&#x662F;MAE</li>
</ul>
</li>
</ul>
</li>
</ul>

                                
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